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Finding the Fourth Proportional to 85,743.76, 118,326.40 and 48,018.01

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Solution

The fourth proportional to 85,743.76, 118,326.40 and 48,018.01 is: 66,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,743.76 : 118,326.40 = 48,018.01 : x
  2. Step 2: Convert to fraction form
    85,743.76/118,326.40 = 48,018.01/x
  3. Step 3: Cross multiply
    85,743.76x = 118,326.40 × 48,018.01
  4. Step 4: Simplify right side
    85,743.76x = 5,681,797,426.74
  5. Step 5: Solve for x
    x = 5,681,797,426.74/85,743.76
  6. Step 6: Final answer
    x = 66,264.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.